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(A) For each of the following LTI ODE's, construct the Routh table and then use the Routh-Hurwitz criterion to determine whether or not the system is stable. For unstable systems, determine how many roots of the Characteristic Equation have positive real parts. 1. 2. 3. 4. 5. (t)+2(t)+3(t) +8+x(t)=0 (t)+8(t) +24x(t) +32(t) + 16x(t) = 5sin(3t) (t) +5.5(t) + 10(t) +62(t)=3t+4 d'z(t) +3x(t) + 2(t)+4()+()+10x(t)=0 dt³ d24 dr dt2 d³x(t) d'x(t) dt dt +9 +36 (1) dt dt +78(t) +88(t) + 482(t)=0 dt2 dt (B) For the stable systems in section (A), determine whether or not (settling time 4 seconds)

(A) For each of the following LTI ODE's, construct the Routh table and then use the Routh-Hurwitz criterion to determine whether or not the system is stable. For unstable systems, determine how many roots of the Characteristic Equation have positive real parts. 1. 2. 3. 4. 5. (t)+2(t)+3(t) +8+x(t)=0 (t)+8(t) +24x(t) +32(t) + 16x(t) = 5sin(3t) (t) +5.5(t) + 10(t) +62(t)=3t+4 d'z(t) +3x(t) + 2(t)+4()+()+10x(t)=0 dt³ d24 dr dt2 d³x(t) d'x(t) dt dt +9 +36 (1) dt dt +78(t) +88(t) + 482(t)=0 dt2 dt (B) For the stable systems in section (A), determine whether or not (settling time 4 seconds)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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(A) For each of the following LTI ODE's, construct the Routh table and then use the Routh-Hurwitz criterion to determine whether or not the system is stable. For unstable systems, determine how many roots of the Characteristic Equation have positive real parts. 1. 2. 3. 4. 5. (t)+2(t)+3(t) +8+x(t)=0 (t)+8(t) +24x(t) +32(t) + 16x(t) = 5sin(3t) (t) +5.5(t) + 10(t) +62(t)=3t+4 d'z(t) +3x(t) + 2(t)+4()+()+10x(t)=0 dt³ d24 dr dt2 d³x(t) d'x(t) dt dt +9 +36 (1) dt dt +78(t) +88(t) + 482(t)=0 dt2 dt (B) For the stable systems in section (A), determine whether or not (settling time 4 seconds)
Transcribed Image Text:(A) For each of the following LTI ODE's, construct the Routh table and then use the Routh-Hurwitz criterion to determine whether or not the system is stable. For unstable systems, determine how many roots of the Characteristic Equation have positive real parts. 1. 2. 3. 4. 5. (t)+2(t)+3(t) +8+x(t)=0 (t)+8(t) +24x(t) +32(t) + 16x(t) = 5sin(3t) (t) +5.5(t) + 10(t) +62(t)=3t+4 d'z(t) +3x(t) + 2(t)+4()+()+10x(t)=0 dt³ d24 dr dt2 d³x(t) d'x(t) dt dt +9 +36 (1) dt dt +78(t) +88(t) + 482(t)=0 dt2 dt (B) For the stable systems in section (A), determine whether or not (settling time 4 seconds)
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